Formula for surface area of a sphere,
S = 4πr²
Formula for volume of a sphere
V = (4/3)πr³
(where r is the radius of the sphere)
Find the surface area of the sphere. Round your answer to the nearest whole number.
Problem 1 :
Solution :
Given, radius = 8 in
Formula for surface area of a sphere
S = 4πr²
Substitute π = 22/7 and r = 8
S = 4π (8)²
S = (4) (22/7) (64)
S = 804.57 in²
The surface area of the sphere is 804 in².
Problem 2 :
Solution :
Given, Diameter = 10cm.
Radius = d/2
= 10/2
Radius = 5 cm
Formula for surface area of a sphere,
S = 4πr²
Substitute π = 22/7 and r = 5
S = 4π (5)²
S = (4) (22/7) (25)
S = 314.28
The surface area of the sphere is 314 cm².
Find the volume of the sphere. Round your answer to the nearest whole number.
Problem 3 :
Solution :
Given, Radius = 8 m
Formula for volume of the sphere
V = 4/3πr³
Substitute π = 22/7 and r = 8m
V = (4/3) ∙ (22/7) ∙ (8)³
V = (4/3) ∙ (22/7) ∙ 512
V = 2145 m³
Problem 4 :
Solution :
Given, Radius = 4 ft
Formula for volume of the sphere
V = 4/3 ∙ πr³
Substitute π = 22/7 and r = 4 ft
V = (4/3) ∙ (22/7) ∙ (4)³
V = (4/3) ∙ (22/7) ∙ 64
V = 268 ft³
Problem 5 :
Solution :
Given, diameter = 22 yd
Radius = d/2
= 22/2
Radius = 11 yd
Formula for volume of the sphere
V = 4/3 ∙ πr³
Substitute π = 22/7 and r = 11 yd
V = (4/3) ∙ (22/7) ∙ (11)³
V = (4/3) ∙ (22/7) ∙ (1331)
V = 5577 yd³
Problem 6 :
Solution :
Given, diameter = 14 ft
Radius = d/2
= 14/2
Radius = 7 ft
Formula for volume of the sphere
V = 4/3 ∙ πr³
Substitute π = 22/7 and r = 7 ft
V = (4/3) ∙ (22/7) ∙ (7)³
V = (4/3) ∙ (22/7) ∙ (343)
V = 1437 ft³
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM